Quantitative Aptitude - Arithmetic Ability Questions

In ΔABC, the angle bisector of ∠A cuts BC at E. Find the length of AC if lengths of AB, BE and EC are 9.6 cm, 4 cm and 3 cm?

A batsman has a certain average of runs for 12 innings. In the 13th inning he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?

To cover a distance of 333 km in 2 hours by a car, what should be the average speed of the car (in meter/second)?

If a taxi going at 40 km/hr takes 25 minutes to travel a certain distance, by how much should it increase its speed (in km/hr) to travel the same distance in 20 minutes?

In ΔABC , DE || AC. Where D and E are two points lying on AB and BC respectively. If AB = 5 cm and AD = 3 cm, then BE : EC is

The reciprocal of the sum of the reciprocals of 2/9 and 7/10 is

If(x + y)2 = xy + 1 and x3 – y3 = 1, then what is the value of x – y?

∆LMN is right angled at M. If m ∠N = 45°. What is the length (in cm) of MN, if NL = 6√2 cm?